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Among the statements (S1) : The set $\left\{z \in \mathbb{C}-\{-i\}:|z|=1\right.$ and $\frac{z-i}{z+i}$ is purely real $\}$ contains exactly two elements, and (S2) : The set $\left\{z \in \mathbb{C}-\{-1\}:|z|=1\right.$ and $\frac{z-1}{z+1}$ is purely imaginary $\}$ contains infinitely many elements.

JEE · Math · previous-year question

  1. A.both are incorrect
  2. B.both are correct
  3. C.only (S2) is correct
  4. D.only (S1) is correct

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